Table 3. Model parameters in absence or presence of covariates for the spatial models and their non-spatial counterparts.

	No covariates				Environmental covariates
Model parameters	non spatial		spatial		non spatial		spatial
	Median	95% CI	Median	95% CI	Median	95% CI	Median	95% CI
DIC	3136.4		3135.6		3130.6		3130.8
Σ	0.4	(0.2–0.7)	0.4	(0.2–0.7)	0.2	(0.1–0.4)	0.2	(0.1–0.4)
Ρ	n.a.	n.a.	317.8	(23.6–1558.0)	n.a.	n.a.	812.5	(98.8–1594.0)
Range (km)	n.a.	n.a.	1.1	(0.2–14.0)	n.a.	n.a.	0.4	(0.2–3.2)

CI, credible interval; DIC, deviance information criterion (a measure of model fit; a lower DIC indicates a better fit).

σ is the location-specific unexplained variance.

ρ is the decay parameter. The range (range = 3/ρ) is the distance at which the spatial correlation becomes less than 5%.